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Finding the Fourth Proportional to 353,208.70, 529,813.05 and 142,738.30

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Solution

The fourth proportional to 353,208.70, 529,813.05 and 142,738.30 is: 214,107.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,208.70 : 529,813.05 = 142,738.30 : x
  2. Step 2: Convert to fraction form
    353,208.70/529,813.05 = 142,738.30/x
  3. Step 3: Cross multiply
    353,208.70x = 529,813.05 × 142,738.30
  4. Step 4: Simplify right side
    353,208.70x = 75,624,614,074.82
  5. Step 5: Solve for x
    x = 75,624,614,074.82/353,208.70
  6. Step 6: Final answer
    x = 214,107.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.